Application of the General Method of Lyapunov Functionals Construction for Difference Volterra Equations

摘要

Lyapunov functionals are used usually for stability investigation of systems with aftereffect [1-3]. The general method of Lyapunov functionals construction which was proposed and developed in [4-19] is used here for stochastic second type Volterra difference equations. It is shown that using this method, there is a possibility to construct for a given equation, a sequence of extending stability regions.